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Problems based on Numbers Test 3

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Question : 17 of 40

Marks: +1, -0

Find the difference between

(29,929)^2

(29,930)^2

.

6,732
7,41,966
198
59,859
9,23,740

Solution:

Concept:

Use the identity

a^2-b^2=(a-b)(a+b)

.

Explanation:

Let

a=29,930

and

b=29,929

.

Then

a-b=29,930-29,929=1

.

Also,

a+b=29,930+29,929=59,859

.

So,

(29,930)^2-(29,929)^2=(a-b)(a+b)

.

Therefore,

(29,930)^2-(29,929)^2=1\times59,859=59,859

.

The required difference is

59,859

.

Answer:

\boxed{59,859}

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